72190120 has 96 divisors (see below), whose sum is σ = 178754400. Its totient is φ = 26151552.

The previous prime is 72190117. The next prime is 72190141. The reversal of 72190120 is 2109127.

It is a super-2 number, since 2×72190120² = 10422826851228800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 72190091 and 72190100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1535937 + ... + 1535983.

It is an arithmetic number, because the mean of its divisors is an integer number (1862025).

Almost surely, 2^72190120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72190120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89377200).

72190120 is an abundant number, since it is smaller than the sum of its proper divisors (106564280).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

72190120 is a wasteful number, since it uses less digits than its factorization.

72190120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 22.

The square root of 72190120 is about 8496.4769169345. The cubic root of 72190120 is about 416.3826145764.

Adding to 72190120 its reverse (2109127), we get a palindrome (74299247).

The spelling of 72190120 in words is "seventy-two million, one hundred ninety thousand, one hundred twenty".